Abstract: This paper investigates the state feedback H∞ control problem for a class of switched linear systems with state delay. Based on Lyapunov function approaches and convex combinations techniques, a sufficient condition for the existence of sub-controllers is presented, which is in the form of matrix inequalities. Both sub-controllers and switching strategy are designed. By using variable substitution method, the matrix inequalities are changed into Linear Matrix Inequalities(LMIs). A simulation example is given to solve the gain matrices of state feedback controllers.

Key words: switched systems, H∞ control, state feedback, state delay, Linear Matrix Inequalities(LMIs)

摘要： 研究一类由任意有限个时滞线性子系统组成的切换系统的状态反馈 控制问题。利用Lyapunov函数方法和凸组合技术，给出由矩阵不等式表示的控制器存在的充分条件，设计相应的子控制器和切换规则。采用变量替代方法，将该矩阵不等式转化为一组线性矩阵不等式。给出一个求解状态反馈控制器增益矩阵的仿真算例。

关键词: 切换系统, 控制, 状态反馈, 状态时滞, 线性矩阵不等式

CLC Number: 

• N945